Finite Group Databasebeta

← C103×#22774 #39928049

Subgroups — C103×#22774 #39928049

Order 26368.

942 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#442×C103C211yesmaximal, characteristic
2C103×#2357C211yesmaximal, characteristic, complemented
3D4×C4⋊C4×C103C211yesmaximal, characteristic, complemented
4C103×#1936C211yesmaximal, characteristic, complemented
5C103×#1934C211yesmaximal, characteristic, complemented
6C103×#1920C211yesmaximal, characteristic, complemented
7C103×#1919C211yesmaximal, characteristic, complemented
8C103×#1879C211yesmaximal, characteristic
9C103×#1879C211yesmaximal, characteristic
10C103×#1836C211yesmaximal, characteristic, complemented
11C103×#1804C211yesmaximal, characteristic, complemented
12C103×#1802C211yesmaximal, characteristic, complemented
13C103×#1771C211yesmaximal, characteristic, complemented
14C103×#1762C211yesmaximal, characteristic, complemented
15C4×#102×C103C211yesmaximal, characteristic, complemented
16C22×D8×C103C2211yescharacteristic
17C2×C4×D4×C103C2211yescharacteristic
18C2×C4×D4×C103C2211yescharacteristic
19C2×C4×D4×C103C2211yescharacteristic
20C2×C4×D4×C103C2211yescharacteristic
21C22×C4⋊C4×C103—21no—
22#442×C103C418yescomplemented
23C2×#106×C103C2211yescharacteristic
24C2×C4⋊C8×C103C2211yescharacteristic
25C2×#102×C103C2211yescharacteristic
26C2×#102×C103C2211yescharacteristic
27C2×#102×C103C2211yescharacteristic
28C2×#102×C103C2211yescharacteristic
29C2×#102×C103C2211yescharacteristic
30C2×#102×C103C2211yescharacteristic
31C2×#97×C103C2211yescharacteristic
32C2×#97×C103C2211yescharacteristic
33C2×C4×C8×C103C2211yescharacteristic
34#390×C103C2211yescharacteristic
35#390×C103C2211yescharacteristic
36#389×C103C2211yescharacteristic
37#389×C103C2211yescharacteristic
38#388×C103—21no—
39#388×C103—21no—
40#385×C103—21no—
41#385×C103—21no—
42#384×C103C2211yescharacteristic
43#382×C103C2211yescharacteristic
44#381×C103—21no—
45#380×C103—21no—
46C4×C4⋊C4×C103C2211yescharacteristic
47C4×C4⋊C4×C103C2211yescharacteristic
48C4×C4⋊C4×C103C2211yescharacteristic
49C4×C22⋊C4×C103—21no—
50#340×C103C2211yescharacteristic
51#340×C103C2211yescharacteristic
52#340×C103C2211yescharacteristic
53#340×C103C2211yescharacteristic
54#340×C103C2211yescharacteristic
55#340×C103C2211yescharacteristic
56#340×C103C2211yescharacteristic
57#340×C103C2211yescharacteristic
58#336×C103C2211yescharacteristic
59#336×C103C2211yescharacteristic
60C22×D4×C103C2311yescharacteristic
61C22×D4×C103C2311yescharacteristic
62C23×C4×C103—21no—
63C23×C4×C103—21no—
64C23×C4×C103—21no—
65C23×C4×C103—21no—
66C2×D8×C103—22no—
67C2×D8×C103—22no—
68C2×D8×C103C2×C414yes—
69C22×C8×C103C2311yescharacteristic
70C22×C8×C103C2311yescharacteristic
71C22×C8×C103C2311yescharacteristic
72C22×C8×C103C2311yescharacteristic
73C4×D4×C103—22no—
74C4×D4×C103—22no—
75C4×D4×C103—22no—
76C4×D4×C103—22no—
77C4×D4×C103—41no—
78C4×D4×C103—41no—
79C4×D4×C103C2×C414yes—
80C4×D4×C103C2×C414yescomplemented
81C2×C4⋊C4×C103—21no—
82C2×C4⋊C4×C103—21no—
83C2×C4⋊C4×C103—21no—
84C2×C4⋊C4×C103—21no—
85C2×C4⋊C4×C103—44no—
86C2×C4⋊C4×C103D411yescharacteristic
87C2×C4⋊C4×C103D411yescharacteristic
88C2×C4⋊C4×C103C2311yescharacteristic
89C2×C4⋊C4×C103C2311yescharacteristic
90C2×C4⋊C4×C103C2311yescharacteristic
91C2×C4⋊C4×C103C2311yescharacteristic
92C2×C4⋊C4×C103C2311yescharacteristic
93C2×C4⋊C4×C103C2311yescharacteristic
94C2×C22⋊C4×C103—21no—
95C2×C22⋊C4×C103—21no—
96C2×C22⋊C4×C103—21no—
97C2×C22⋊C4×C103—21no—
98C2×C22⋊C4×C103—21no—
99C2×C22⋊C4×C103—21no—
100C2×C22⋊C4×C103—21no—
101C2×C22⋊C4×C103—21no—
102C2×C42×C103—21no—
103C2×C42×C103—21no—
104C2×C42×C103C2311yescharacteristic
105C2×C42×C103C2311yescharacteristic
106C2×C42×C103C2311yescharacteristic
107#106×C103C2×C414yescomplemented
108C4⋊C8×C103—22no—
109#102×C103—22no—
110#102×C103—22no—
111#102×C103—41no—
112#102×C103—41no—
113#102×C103C2×C414yes—
114#102×C103C2×C414yescomplemented
115#97×C103—41no—
116#97×C103C2×C414yescomplemented
117C4×C8×C103—41no—
118#95×C103—21no—
119#95×C103—21no—
120#95×C103—21no—
121#95×C103—21no—
122#95×C103—21no—
123#95×C103—21no—
124#95×C103D411yescharacteristic
125#95×C103D411yescharacteristic
126C24×C103—21no—
127C24×C103—21no—
128C2×D4×C103—21no—
129C2×D4×C103—21no—
130C2×D4×C103—21no—
131C2×D4×C103—21no—
132C2×D4×C103—21no—
133C2×D4×C103—21no—
134C2×D4×C103—21no—
135C2×D4×C103—21no—
136C2×D4×C103C22×C412yes—
137C2×D4×C103C22×C412yes—
138C2×D4×C103#4112yes—
139C2×D4×C103#4112yes—
140C22×C4×C103—21no—
141C22×C4×C103—21no—
142C22×C4×C103—24no—
143C22×C4×C103—24no—
144C22×C4×C103—21no—
145C22×C4×C103—21no—
146C22×C4×C103—21no—
147C22×C4×C103—21no—
148C22×C4×C103—42no—
149C22×C4×C103—42no—
150C22×C4×C103—42no—
151C22×C4×C103—42no—
152C22×C4×C103—42no—
153C22×C4×C103—42no—
154C22×C4×C103—81no—
155C22×C4×C103—81no—
156C22×C4×C103—81no—
157C22×C4×C103—81no—
158C22×C4×C103C2×D411yescharacteristic
159C22×C4×C103C2×D411yescharacteristic
160C22×C4×C103C2×D411yescharacteristic
161C22×C4×C103C2×D411yescharacteristic
162C22×C4×C103C2×D411yescharacteristic
163C22×C4×C103C2×D411yescharacteristic
164C22×C4×C103C2411yescharacteristic
165D8×C103—28no—
166C2×C8×C103—21no—
167C2×C8×C103—21no—
168C2×C8×C103—21no—
169C2×C8×C103—21no—
170C2×C8×C103—21no—
171C2×C8×C103—21no—
172C2×C8×C103—21no—
173C2×C8×C103—21no—
174C2×C8×C103—21no—
175C2×C8×C103—21no—
176C2×C8×C103C22×C412yes—
177C2×C8×C103C22×C412yes—
178C4⋊C4×C103—22no—
179C4⋊C4×C103—21no—
180C4⋊C4×C103—21no—
181C4⋊C4×C103—21no—
182C4⋊C4×C103—21no—
183C4⋊C4×C103—21no—
184C4⋊C4×C103—21no—
185C4⋊C4×C103—21no—
186C4⋊C4×C103—21no—
187C4⋊C4×C103—21no—
188C4⋊C4×C103—21no—
189C4⋊C4×C103—41no—
190C4⋊C4×C103—42no—
191C4⋊C4×C103—42no—
192C4⋊C4×C103—42no—
193C4⋊C4×C103—81no—
194C4⋊C4×C103C22×C412yes—
195C4⋊C4×C103C22×C412yes—
196C22⋊C4×C103—24no—
197C22⋊C4×C103—24no—
198C22⋊C4×C103—42no—
199C22⋊C4×C103—42no—
200C22⋊C4×C103—42no—
201C22⋊C4×C103—42no—
202C22⋊C4×C103—81no—
203C22⋊C4×C103—81no—
204C42×C103—21no—
205C42×C103—21no—
206C42×C103—21no—
207C42×C103—21no—
208C42×C103—81no—
209C42×C103—81no—
210C42×C103C22×C412yes—
211C42×C103#4112yes—
212C23×C103—22no—
213C23×C103—22no—
214C23×C103—22no—
215C23×C103—22no—
216C23×C103—41no—
217C23×C103—41no—
218C23×C103—41no—
219C23×C103—41no—
220C23×C103—41no—
221C23×C103—41no—
222C23×C103—41no—
223C23×C103—41no—
224C23×C103—41no—
225C23×C103—41no—
226C23×C103C22×D411yescharacteristic
227D4×C103—22no—
228D4×C103—22no—
229D4×C103—22no—
230D4×C103—22no—
231D4×C103—22no—
232D4×C103—41no—
233D4×C103—41no—
234D4×C103#11714yes—
235C2×C4×C103—21no—
236C2×C4×C103—21no—
237C2×C4×C103—21no—
238C2×C4×C103—21no—
239C2×C4×C103—21no—
240C2×C4×C103—21no—
241C2×C4×C103—22no—
242C2×C4×C103—22no—
243C2×C4×C103—21no—
244C2×C4×C103—21no—
245C2×C4×C103—21no—
246C2×C4×C103—21no—
247C2×C4×C103—21no—
248C2×C4×C103—21no—
249C2×C4×C103—21no—
250C2×C4×C103—21no—
251C2×C4×C103—21no—
252C2×C4×C103—48no—
253C2×C4×C103—41no—
254C2×C4×C103—41no—
255C2×C4×C103—41no—
256C2×C4×C103—41no—
257C2×C4×C103—41no—
258C2×C4×C103—41no—
259C2×C4×C103—41no—
260C2×C4×C103—41no—
261C2×C4×C103—41no—
262C2×C4×C103—41no—
263C2×C4×C103—41no—
264C2×C4×C103—41no—
265C2×C4×C103—41no—
266C2×C4×C103—41no—
267C2×C4×C103—41no—
268C2×C4×C103—41no—
269C2×C4×C103—84no—
270C2×C4×C103—84no—
271C2×C4×C103—84no—
272C2×C4×C103C4×D412yes—
273C2×C4×C103C4×D412yes—
274C2×C4×C103AGL(1,ℤ/8)12yes—
275C2×C4×C103C23×C411yescharacteristic
276C2×C4×C103C2×#4111yescharacteristic
277C2×C4×C103C2×#4111yescharacteristic
278C2×C4×C103C2×#4111yescharacteristic
279C2×C4×C103H(5,𝔽2)11yescharacteristic
280C2×C4×C1032−1+411yescharacteristic
281C8×C103—22no—
282C8×C103—22no—
283C8×C103—41no—
284C8×C103—41no—
285C22×C103—24no—
286C22×C103—42no—
287C22×C103—42no—
288C22×C103—42no—
289C22×C103—42no—
290C22×C103—42no—
291C22×C103—42no—
292C22×C103—42no—
293C22×C103—42no—
294C22×C103—42no—
295C22×C103—81no—
296C22×C103—81no—
297C22×C103—81no—
298C22×C103—81no—
299C22×C103C2×C4×D411yescharacteristic
300C22×C103#54611yescharacteristic
301C22×C103#54811yescharacteristic
302C22×C103C2×AGL(1,ℤ/8)11yescharacteristic
303C22×C103#57511yescharacteristic
304C22×C103#57611yescharacteristic
305C22×C103#57711yescharacteristic
306C4×C103—22no—
307C4×C103—22no—
308C4×C103—22no—
309C4×C103—42no—
310C4×C103—42no—
311C4×C103—41no—
312C4×C103—41no—
313C4×C103—41no—
314C4×C103—81no—
315C4×C103—81no—
316C4×C103—81no—
317C4×C103—81no—
318C4×C103C2×#11711yescharacteristic
319C4×C103#52011yescharacteristic
320C4×C103#55211yescharacteristic
321C4×C103#55311yescharacteristic
322#22774C10311yesmaximal, characteristic, direct product factor, Sylow
323C2×C103—44no—
324C2×C103—82no—
325C2×C103#235211yescharacteristic
326C2×C103C4×AGL(1,ℤ/8)11yescharacteristic
327C2×C103#294611yescharacteristic
328C2×C103#330711yescharacteristic
329C2×C103#331811yescharacteristic
330C2×C103#337011yescharacteristic
331C2×C103#337311yescharacteristic
332C2×#442C2×C10311yescharacteristic
333#2357C2×C10311yescharacteristic, complemented
334D4×C4⋊C4C2×C10311yescharacteristic, complemented
335#1936C2×C10311yescharacteristic, complemented
336#1934C2×C10311yescharacteristic, complemented
337#1920C2×C10311yescharacteristic, complemented
338#1919C2×C10311yescharacteristic, complemented
339#1879C2×C10311yescharacteristic
340#1879C2×C10311yescharacteristic
341#1836C2×C10311yescharacteristic, complemented
342#1804C2×C10311yescharacteristic, complemented
343#1802C2×C10311yescharacteristic, complemented
344#1771C2×C10311yescharacteristic, complemented
345#1762C2×C10311yescharacteristic, complemented
346C4×#102C2×C10311yescharacteristic, complemented
347C103#2277411yescharacteristic, direct product factor, Sylow
348C22×D8C22×C10311yescharacteristic
349C2×C4×D4C22×C10311yescharacteristic
350C2×C4×D4C22×C10311yescharacteristic
351C2×C4×D4C22×C10311yescharacteristic
352C2×C4×D4C22×C10311yescharacteristic
353C22×C4⋊C4—21no—
354#442C4×C10318yescomplemented
355C2×#106C22×C10311yescharacteristic
356C2×C4⋊C8C22×C10311yescharacteristic
357C2×#102C22×C10311yescharacteristic
358C2×#102C22×C10311yescharacteristic
359C2×#102C22×C10311yescharacteristic
360C2×#102C22×C10311yescharacteristic
361C2×#102C22×C10311yescharacteristic
362C2×#102C22×C10311yescharacteristic
363C2×#97C22×C10311yescharacteristic
364C2×#97C22×C10311yescharacteristic
365C2×C4×C8C22×C10311yescharacteristic
366#390C22×C10311yescharacteristic
367#390C22×C10311yescharacteristic
368#389C22×C10311yescharacteristic
369#389C22×C10311yescharacteristic
370#388—21no—
371#388—21no—
372#385—21no—
373#385—21no—
374#384C22×C10311yescharacteristic
375#382C22×C10311yescharacteristic
376#381—21no—
377#380—21no—
378C4×C4⋊C4C22×C10311yescharacteristic
379C4×C4⋊C4C22×C10311yescharacteristic
380C4×C4⋊C4C22×C10311yescharacteristic
381C4×C22⋊C4—21no—
382#340C22×C10311yescharacteristic
383#340C22×C10311yescharacteristic
384#340C22×C10311yescharacteristic
385#340C22×C10311yescharacteristic
386#340C22×C10311yescharacteristic
387#340C22×C10311yescharacteristic
388#340C22×C10311yescharacteristic
389#340C22×C10311yescharacteristic
390#336C22×C10311yescharacteristic
391#336C22×C10311yescharacteristic
392C22×D4C23×C10311yescharacteristic
393C22×D4C23×C10311yescharacteristic
394C23×C4—21no—
395C23×C4—21no—
396C23×C4—21no—
397C23×C4—21no—
398C2×D8—22no—
399C2×D8—22no—
400C2×D8C2×C4×C10314yes—
401C22×C8C23×C10311yescharacteristic
402C22×C8C23×C10311yescharacteristic
403C22×C8C23×C10311yescharacteristic
404C22×C8C23×C10311yescharacteristic
405C4×D4—22no—
406C4×D4—22no—
407C4×D4—22no—
408C4×D4—22no—
409C4×D4—41no—
410C4×D4—41no—
411C4×D4C2×C4×C10314yes—
412C4×D4C2×C4×C10314yescomplemented
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—44no—
418C2×C4⋊C4D4×C10311yescharacteristic
419C2×C4⋊C4D4×C10311yescharacteristic
420C2×C4⋊C4C23×C10311yescharacteristic
421C2×C4⋊C4C23×C10311yescharacteristic
422C2×C4⋊C4C23×C10311yescharacteristic
423C2×C4⋊C4C23×C10311yescharacteristic
424C2×C4⋊C4C23×C10311yescharacteristic
425C2×C4⋊C4C23×C10311yescharacteristic
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C42—21no—
435C2×C42—21no—
436C2×C42C23×C10311yescharacteristic
437C2×C42C23×C10311yescharacteristic
438C2×C42C23×C10311yescharacteristic
439#106C2×C4×C10314yescomplemented
440C4⋊C8—22no—
441#102—22no—
442#102—22no—
443#102—41no—
444#102—41no—
445#102C2×C4×C10314yes—
446#102C2×C4×C10314yescomplemented
447#97—41no—
448#97C2×C4×C10314yescomplemented
449C4×C8—41no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95D4×C10311yescharacteristic
457#95D4×C10311yescharacteristic
458C24—21no—
459C24—21no—
460C2×D4—21no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4C22×C4×C10312yes—
469C2×D4C22×C4×C10312yes—
470C2×D4#41×C10312yes—
471C2×D4#41×C10312yes—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—81no—
487C22×C4—81no—
488C22×C4—81no—
489C22×C4—81no—
490C22×C4C2×D4×C10311yescharacteristic
491C22×C4C2×D4×C10311yescharacteristic
492C22×C4C2×D4×C10311yescharacteristic
493C22×C4C2×D4×C10311yescharacteristic
494C22×C4C2×D4×C10311yescharacteristic
495C22×C4C2×D4×C10311yescharacteristic
496C22×C4C24×C10311yescharacteristic
497D8—28no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8C22×C4×C10312yes—
509C2×C8C22×C4×C10312yes—
510C4⋊C4—22no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—41no—
522C4⋊C4—42no—
523C4⋊C4—42no—
524C4⋊C4—42no—
525C4⋊C4—81no—
526C4⋊C4C22×C4×C10312yes—
527C4⋊C4C22×C4×C10312yes—
528C22⋊C4—24no—
529C22⋊C4—24no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—81no—
535C22⋊C4—81no—
536C42—21no—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—81no—
541C42—81no—
542C42C22×C4×C10312yes—
543C42#41×C10312yes—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—22no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23C22×D4×C10311yescharacteristic
559D4—22no—
560D4—22no—
561D4—22no—
562D4—22no—
563D4—22no—
564D4—41no—
565D4—41no—
566D4#117×C10314yes—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—48no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—84no—
602C2×C4—84no—
603C2×C4—84no—
604C2×C4C4×D4×C10312yes—
605C2×C4C4×D4×C10312yes—
606C2×C4AGL(1,ℤ/8)×C10312yes—
607C2×C4C23×C4×C10311yescharacteristic
608C2×C4C2×#41×C10311yescharacteristic
609C2×C4C2×#41×C10311yescharacteristic
610C2×C4C2×#41×C10311yescharacteristic
611C2×C4H(5,𝔽2)×C10311yescharacteristic
612C2×C42−1+4×C10311yescharacteristic
613C8—22no—
614C8—22no—
615C8—41no—
616C8—41no—
617C22—24no—
618C22—42no—
619C22—42no—
620C22—42no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—42no—
625C22—42no—
626C22—42no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22C2×C4×D4×C10311yescharacteristic
632C22#546×C10311yescharacteristic
633C22#548×C10311yescharacteristic
634C22C2×AGL(1,ℤ/8)×C10311yescharacteristic
635C22#575×C10311yescharacteristic
636C22#576×C10311yescharacteristic
637C22#577×C10311yescharacteristic
638C4—22no—
639C4—22no—
640C4—22no—
641C4—41no—
642C4—41no—
643C4—41no—
644C4—42no—
645C4—42no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4C2×#117×C10311yescharacteristic
651C4#520×C10311yescharacteristic
652C4#552×C10311yescharacteristic
653C4#553×C10311yescharacteristic
654C2—44no—
655C2—82no—
656C2C103×#235211yescharacteristic
657C2C4×AGL(1,ℤ/8)×C10311yescharacteristic
658C2C103×#294611yescharacteristic
659C2C103×#330711yescharacteristic
660C2C103×#331811yescharacteristic
661C2C103×#337011yescharacteristic
662C2C103×#337311yescharacteristic
subgroupG/H
center, socleC23×C103C22×D4
commutatorC2×C4C23×C4×C103
Frattini, cosocleC22×C4C24×C103
prime radicalC22×D8×C103C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C103 ◁ C4×C4⋊C4×C103 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C103×#2357C2semidirect
3. D4×C4⋊C4×C103C2semidirect
4. C103×#1936C2semidirect
5. C103×#1934C2semidirect
6. C103×#1920C2semidirect
7. C103×#1919C2semidirect
10. C103×#1836C2semidirect
11. C103×#1804C2semidirect
12. C103×#1802C2semidirect
13. C103×#1771C2semidirect
14. C103×#1762C2semidirect
15. C4×#102×C103C2semidirect
22. #442×C103C4semidirect
80. C4×D4×C103C2×C4semidirect
107. #106×C103C2×C4semidirect
114. #102×C103C2×C4semidirect
116. #97×C103C2×C4semidirect
322. #22774C103direct (N × H)
333. #2357C2×C103semidirect
334. D4×C4⋊C4C2×C103semidirect
335. #1936C2×C103semidirect
336. #1934C2×C103semidirect
337. #1920C2×C103semidirect
338. #1919C2×C103semidirect
341. #1836C2×C103semidirect
342. #1804C2×C103semidirect
343. #1802C2×C103semidirect
344. #1771C2×C103semidirect
345. #1762C2×C103semidirect
346. C4×#102C2×C103semidirect
347. C103#22774direct (N × H)
354. #442C4×C103semidirect
412. C4×D4C2×C4×C103semidirect
439. #106C2×C4×C103semidirect
446. #102C2×C4×C103semidirect
448. #97C2×C4×C103semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#442×C1032
C103×#23572
D4×C4⋊C4×C1032
C103×#19362
C103×#19342
C103×#19202
C103×#19192
C103×#18792
C103×#18362
C103×#18042
C103×#18022
C103×#17712
C103×#17622
C4×#102×C1032
#22774103